A BKR operation for events occurring for disjoint reasons with high probability

Larry Goldstein, Yosef Rinott

Given events $A$ and $B$ on a product space $S={\prod }_{i=1}^n{S}_i$, the set $A\square B$ consists of all vectors $\mathbf{x}=(x_1,\dots ,x_n)\in S$ for which there exist disjoint coordi…